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Finding the Third Proportional to 128,683.69 and 196,852.78

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Solution

The third proportional to 128,683.69 and 196,852.78 is: 301,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,683.69 : 196,852.78 = 196,852.78 : x
  2. Step 2: Convert to fraction form
    128,683.69/196,852.78 = 196,852.78/x
  3. Step 3: Cross multiply
    128,683.69x = 196,852.78 × 196,852.78
  4. Step 4: Simplify right side
    128,683.69x = 38,751,017,485.86
  5. Step 5: Solve for x
    x = 38,751,017,485.86/128,683.69
  6. Step 6: Final answer
    x = 301,133.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.